With the following information:

Construct a $2-$step binomial tree for a European call option.

$(1)$ What is the value of u$?($Leave $2$ d$.$p$.$ for the answer$)$

$(2)$ What is the value of Sud? $($Leave $2$ d$.$p$.$ for the answer$)$

$(3)$ What is the value of Cuu? $($Leave $2$ d$.$p$.$ for the answer$)$

$(4)$ What is the value of Cud? $($Leave $2$ d$.$p$.$ for the answer$)$

$(5)$ What is the value of Cdd$?$

$(6)$ What is the value of Cu$?($Leave $2$ d$.$p$.$ for the answer$)$

$(7)$ What is the value of Cd$?($Leave $2$ d$.$p$.$ for the answer$)$

$(8)$ What is the call option premium C$?($Leave $2$ d$.$p$.$ for the answer$)$

$(9)$ If the option is American style, in which node $($u or d$)$ do you want to exercise before expiration?

Select one:

a$.$ Node u

b$.$ Node d

$(10)$ What is the American call option premium? $($Leave $2$ d$.$p$.$ for the answer$)$